CORRECTIONS TO “EXTENSIONS OF CHARACTERS OF THE NORMAL SUBGROUP OF A SEMIDIRECT PRODUCT GROUP TO ONE-DIMENSIONAL PSEUDOREPRESENTATIONS OF THE GROUP”
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We correct the formulation of the main result of the paper “Extensions of Characters of the Normal Subgroup of a Semi-Direct Product Group to One-Dimensional Pseudorepresentations of the Group” (Proc. Jangjeon Math. Soc. 19 (2016), no. 3, 451–455), present the correct formulation of this result (which is in fact proved by the corresponding consideration in the cited paper), and state and prove the corresponding result for connected locally compact groups.
Abstract
We correct the formulation of the main result of the paper “Extensions of Characters of the Normal Subgroup of a Semi-Direct Product Group to One-Dimensional Pseudorepresentations of the Group” (Proc. Jangjeon Math. Soc. 19 (2016), no. 3, 451–455), present the correct formulation of this result (which is in fact proved by the corresponding consideration in the cited paper), and state and prove the corresponding result for connected locally compact groups.
참고문헌 (5)
- A. I. Shtern, "EXTENSION OF CHARACTERS ON THE NORMAL SUBGROUP OF A SEMI-DIRECT PRODUCT GROUP TO ONE-DIMENSIONAL PSEUDOREPRESENTATIONS OF THE GROUP", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(3), pp.451~455 (2016), 장전수학회
- A. I. Shtern, "Specific Properties of One-Dimensional Pseudorepresentations of Groups", Fundam. Prikl. Matem, 20(6) (2015)
- A. I. Shtern, "A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture on homomorphisms of locally compact groups", Izv. Ross. Akad. Nauk Ser. Mat, 72(1), pp.183~224 (2008)
- A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
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